2023-03-27T06:55:53Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/696692022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116On time analyticity of the Navier-Stokes equations in a rotating frame with spatially almost periodic dataGiga, YoshikazuJo, HideakiMahalov, AlexYoneda, Tsuyoshiopen accessNavier-Stokes equationsanalyticityfrequency setCoriolis force410We consider the Navier-Stokes equations with the Coriolis force when intial data may not decrease at spatial infinity so that almost periodic data is allowed. We prove that the local-in-time solution is analytic in time when initial data is in $FM_0$, Fourier preimage of the space of all finite Radon measures with no point mass at the origin. When the initial data is almost periodic, this implies that the complex amplitude is analytic in time. In particular, a new mode cannot be created at any positive time.Department of Mathematics, Hokkaido University2007engdepartmental bulletin paperVoRhttps://doi.org/10.14943/84010http://hdl.handle.net/2115/6966910.14943/84010Hokkaido University Preprint Series in Mathematics860216https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69669/1/pre860.pdfapplication/pdf134.43 KB2007